6(n+5)+8(8n+3)=-16

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Solution for 6(n+5)+8(8n+3)=-16 equation:


Simplifying
6(n + 5) + 8(8n + 3) = -16

Reorder the terms:
6(5 + n) + 8(8n + 3) = -16
(5 * 6 + n * 6) + 8(8n + 3) = -16
(30 + 6n) + 8(8n + 3) = -16

Reorder the terms:
30 + 6n + 8(3 + 8n) = -16
30 + 6n + (3 * 8 + 8n * 8) = -16
30 + 6n + (24 + 64n) = -16

Reorder the terms:
30 + 24 + 6n + 64n = -16

Combine like terms: 30 + 24 = 54
54 + 6n + 64n = -16

Combine like terms: 6n + 64n = 70n
54 + 70n = -16

Solving
54 + 70n = -16

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-54' to each side of the equation.
54 + -54 + 70n = -16 + -54

Combine like terms: 54 + -54 = 0
0 + 70n = -16 + -54
70n = -16 + -54

Combine like terms: -16 + -54 = -70
70n = -70

Divide each side by '70'.
n = -1

Simplifying
n = -1

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